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This Is *PROOF* that AD never produces a New Digit Sequence!
Posted:
Dec 29, 2012 5:18 PM
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AD METHOD (binary version) Choose the number 0.a_1a_2a_3...., where a_i = 1 if the i-th number in your list had zero in its i-position, a_i = 0 otherwise.
LIST R1= < <314><15><926><535><8979><323> ... > R2= < <27><18281828><459045><235360> ... > R3= < <333><333><333><333><333><333> ... > R4= < <888888888888888888888><8><88> ... > R5= < <0123456789><0123456789><01234 ... > R6= < <1><414><21356><2373095><0488> ... > ....
By breaking each infinite expansion into arbitrary finite length segments
[3] The anti-Diagonal never produces a unique segment (all finite segments are computable)
[4] The anti-Diagonal never produces a unique sequence of segments (all segment sequences are computable)
It's just like the infinite STACK of ESSAYS! They contain every possible sentence in every possible order! By changing one word at a time it's Still IMPOSSIBLE to construct a New Essay!
Herc
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